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Finding the Third Proportional to 129,311 and 200,690

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Solution

The third proportional to 129,311 and 200,690 is: 311,469.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,311 : 200,690 = 200,690 : x
  2. Step 2: Convert to fraction form
    129,311/200,690 = 200,690/x
  3. Step 3: Cross multiply
    129,311x = 200,690 × 200,690
  4. Step 4: Simplify right side
    129,311x = 40,276,476,100
  5. Step 5: Solve for x
    x = 40,276,476,100/129,311
  6. Step 6: Final answer
    x = 311,469.84

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.